Answer:
Volume of the pyramid = 16m³ or 16 cubic meters.
Step-by-step explanation:
The equation for the volume of a pyramid is:
where b = area of base and h = height.
In this case, the base is a square with a side length of 4m.
Area of the square base = (4m)² = b = 16m²
h = 3m
Insert b and a into the volume of a pyramid equation.
= 16m³
Volume of the pyramid = 16m³ or 16 cubic meters.
You need to determine how much paper you need to cover the lateral side of the cylinder shown in the picture. For this, you have to calculate the surface area of the cylinder, which you can do using the following formula:
Where
A is the area
π is the number pi, for the calculations we usually use up to the first two decimal values of this number, 3.14
r is the radius
h is the height of the cylinder
The given cylinder has a height of h=15m and a diameter of d=6m
To calculate the lateral area you need to use the radius. The diameter is twice the radius, so to determine the radius of the cylinder you have to divide the diameter by 2
Now you can calculate the lateral area as follows:
Charlie will need 282.6 m² to cover the lateral side of the cylinder.